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Finding the Third Proportional to 72,178.50 and 103,971

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Solution

The third proportional to 72,178.50 and 103,971 is: 149,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,178.50 : 103,971 = 103,971 : x
  2. Step 2: Convert to fraction form
    72,178.50/103,971 = 103,971/x
  3. Step 3: Cross multiply
    72,178.50x = 103,971 × 103,971
  4. Step 4: Simplify right side
    72,178.50x = 10,809,968,841
  5. Step 5: Solve for x
    x = 10,809,968,841/72,178.50
  6. Step 6: Final answer
    x = 149,767.16

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.